{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cubic Element for Poisson Equation in 2D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example is to show the rate of convergence of the cubic finite element approximation of the Poisson equation on the unit square:\n",
    "\n",
    "$$- \\Delta u = f \\; \\hbox{in } (0,1)^2$$\n",
    "\n",
    "for the following boundary conditions\n",
    "- Non-empty Dirichlet boundary condition: $u=g_D \\hbox{ on }\\Gamma_D, \\nabla u\\cdot n=g_N \\hbox{ on }\\Gamma_N.$\n",
    "- Pure Neumann boundary condition: $\\nabla u\\cdot n=g_N \\hbox{ on } \\partial \\Omega$.\n",
    "- Robin boundary condition: $g_R u + \\nabla u\\cdot n=g_N \\hbox{ on }\\partial \\Omega$.\n",
    "\n",
    "**References**:\n",
    "- [Quick Introduction to Finite Element Methods](femdoc.html)\n",
    "- [Introduction to Finite Element Methods](http://www.math.uci.edu/~chenlong/226/Ch2FEM.pdf)\n",
    "- [Progamming of Finite Element Methods](http://www.math.uci.edu/~chenlong/226/Ch3FEMCode.pdf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## P3 Cubic Element\n",
    "\n",
    "We explain degree of freedoms and Lagrange basis for the cubic element on a triangle. There are three types of dofs: vertex type, edge type and element type. Given a mesh, the required data structure can be constructured by\n",
    "\n",
    "      [elem2dof,elem2edge,edge,bdDof,freeDof] = dofP3(elem)\n",
    "\n",
    "**A local basis of P3**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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p0CCDVv7Fjvr//rf32k63z/nBhf/64T3/b9/PVmxYNtaWenhr7V/ufTuKlQYK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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "node = [0 0; 1 0; 0.5 0.5*sqrt(3)];\n",
    "elem = [1 2 3];\n",
    "lambda = [1 0 0; 0 1 0; 0 0 1; ...  % 1,2,3 three vertices\n",
    "          0 1/3 2/3; 0 2/3 1/3; ... % 4, 5 first edge\n",
    "          2/3 0 1/3; 1/3 0 2/3; ... % 6, 7 second edge \n",
    "          1/3 2/3 0; 2/3 1/3 0; ... % 8, 9 third edge\n",
    "          1/3 1/3 1/3];             % 10   center of element\n",
    "dofNode = lambda*node;\n",
    "figure; subplot(1,2,1);\n",
    "showmesh(node,elem);\n",
    "hold on;\n",
    "findnode(dofNode);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The 10 Lagrange-type basis functions are denoted by $\\phi_i, i=1:10$, i.e\n",
    "$\\phi_i(x_j)=\\delta _{ij},i,j=1:10$. In barycentric coordinates, they are\n",
    "\n",
    "$$ \\phi_1 = 1/2(3\\lambda_1-1) (3\\lambda_1-2)\\lambda_1,\\quad \\nabla \\phi_1 = (27/2 \\lambda_1 \\lambda_1-9 \\lambda_1+1) \\nabla \\lambda_1,$$\n",
    "\n",
    "$$ \\phi_2 = 1/2(3\\lambda_2-1) (3\\lambda_2-2)\\lambda_2,\\quad  \\nabla \\phi_2 = (27/2 \\lambda_2 \\lambda_2-9 \\lambda_2+1) \\nabla \\lambda_2,$$ \n",
    "\n",
    "$$ \\phi_3 = 1/2(3\\lambda_3-1) (3\\lambda_3-2)\\lambda_3,\\quad  \\nabla \\phi_3 = (27/2 \\lambda_3 \\lambda_3-9 \\lambda_3+1) \\nabla \\lambda_3,$$ \n",
    "\n",
    "$$ \\phi_4 = 9/2\\lambda_3\\lambda_2 (3\\lambda_2-1),\\quad  \\nabla\\phi_4 = 9/2 ((3 \\lambda_2 \\lambda_2-\\lambda_2) \\nabla \\lambda_3+ \\lambda_3 (6 \\lambda_2-1) \\nabla \\lambda_2)$$ \n",
    "\n",
    "$$ \\phi_5 = 9/2\\lambda_3\\lambda_2 (3\\lambda_3-1),\\quad  \\nabla\\phi_5 = 9/2 ((3 \\lambda_3 \\lambda_3-\\lambda_3) \\nabla \\lambda_2+ \\lambda_2 (6 \\lambda_3-1) \\nabla \\lambda_3),$$ \n",
    "\n",
    "$$ \\phi_6 = 9/2\\lambda_1\\lambda_3 (3\\lambda_3-1),\\quad  \\nabla\\phi_6 = 9/2 ((3 \\lambda_3 \\lambda_3-\\lambda_3) \\nabla \\lambda_1+ \\lambda_1 (6 \\lambda_3-1) \\nabla \\lambda_3),$$\n",
    "\n",
    "$$ \\phi_7 = 9/2\\lambda_1\\lambda_3 (3\\lambda_1-1),\\quad  \\nabla\\phi_7 = 9/2 ((3 \\lambda_1 \\lambda_1-\\lambda_1) \\nabla \\lambda_3+ \\lambda_3 (6 \\lambda_1-1) \\nabla \\lambda_1),$$ \n",
    "\n",
    "$$ \\phi_8 = 9/2\\lambda_1\\lambda_2 (3\\lambda_1-1),\\quad  \\nabla\\phi_8 = 9/2 ((3 \\lambda_1 \\lambda_1-\\lambda_1) \\nabla \\lambda_2+ \\lambda_2 (6 \\lambda_1-1) \\nabla \\lambda_1),$$ \n",
    "\n",
    "$$ \\phi_9 = 9/2\\lambda_1\\lambda_2 (3\\lambda_2-1),\\quad  \\nabla\\phi_9 = 9/2 ((3 \\lambda_2 \\lambda_2-\\lambda_2) \\nabla \\lambda_1+ \\lambda_1 (6 \\lambda_2-1) \\nabla \\lambda_2),$$ \n",
    "\n",
    "$$ \\phi_{10} = 27\\lambda_1\\lambda_2\\lambda_3, \\quad \\nabla \\phi_{10} =  27 (\\lambda_1 \\lambda_2 \\nabla \\lambda_3+\\lambda_1 \\lambda_3 \\nabla \\lambda_2+ \\lambda_3 \\lambda_2 \\nabla \\lambda_1).$$\n",
    "\n",
    "When transfer to the reference triangle formed by $(0,0),(1,0),(0,1)$,\n",
    "the local bases in x-y coordinate can be obtained by substituting \n",
    "\n",
    "$$\\lambda _1 = x, \\quad \\lambda _2 = y, \\quad \\lambda _3 = 1-x-y.$$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Local to global index mapp\n",
    "\n",
    "The matrix `elem2dof` is the local to global index mapping of dofs which can be generated by `dofP3(elem)`.  The global indices of the dof is organized according to the order of nodes, edges and elements. To be consistent, the dof on an edge depends on the orientation of edge only. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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l03B/f3R1zXnA00/Hv/xLjIzEq6/O3FVr0q5teyzcAbMSpKQlVaNaS+a6PNq8Of7+7+MT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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "node = [0,0; 1,0; 1,1; 0,1];\n",
    "elem = [2,3,1; 4,1,3];      \n",
    "figure; subplot(1,2,1);\n",
    "showmesh(node,elem);\n",
    "findnode(node);\n",
    "findelem(node,elem,'all','index','FaceColor',[0.5 0.9 0.45]);\n",
    "[elem2dof,elem2edge,edge,bdDof,freeDof] = dofP3(elem);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "elem2dof =\n",
      "\n",
      "  2�10 uint32 matrix\n",
      "\n",
      "    2    3    1    8    7    5    6   11   12   15\n",
      "    4    1    3    7    8   13   14   10    9   16\n",
      "\n",
      "\n",
      "bdDof =\n",
      "\n",
      "     1\n",
      "     2\n",
      "     3\n",
      "     4\n",
      "     5\n",
      "     6\n",
      "     9\n",
      "    10\n",
      "    11\n",
      "    12\n",
      "    13\n",
      "    14\n",
      "\n"
     ]
    }
   ],
   "source": [
    "display(elem2dof);\n",
    "display(bdDof);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mixed boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     2401,  #nnz:    35034, smoothing: (1,1), iter: 18,   err = 3.84e-10,   time = 0.18 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     9409,  #nnz:   145290, smoothing: (1,1), iter: 18,   err = 4.36e-10,   time = 0.19 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    37249,  #nnz:   591594, smoothing: (1,1), iter: 18,   err = 4.43e-10,   time = 0.44 s\n",
      "\n",
      " #Dof       h       ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  625   1.25e-01   2.70637e-05   1.12141e-03   9.84838e-04   5.67685e-05\n",
      " 2401   6.25e-02   1.64347e-06   1.38348e-04   1.26253e-04   3.61495e-06\n",
      " 9409   3.12e-02   1.01251e-07   1.71699e-05   1.59519e-05   2.26879e-07\n",
      "37249   1.56e-02   6.28490e-09   2.13842e-06   2.00358e-06   1.42241e-08\n",
      "\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  625   1.00e-01   3.60e-03   1.40e-01   1.00e-02\n",
      " 2401   7.00e-02   1.78e-01   5.00e-02   1.00e-02\n",
      " 9409   2.60e-01   1.88e-01   6.00e-02   2.00e-02\n",
      "37249   4.70e-01   4.40e-01   1.20e-01   6.00e-02\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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QqRvcTJKBIySHwcNjjz127LHHfutb3zr++OOvv/764g2WLVs2f/78xYsXH3fccb/61a8q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\nn+ekDU7UoGQOSZKQSIGZovFYgmY2RGJqp8AleUjO8Ft5hwZEe35ykVgjp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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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79u3bt+/8+fMzMzMvXLjw8ccf83KJoUOHbtq0KS8vDwAuXry4c+fOmJgYXmpG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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%% Setting\n",
    "[node,elem] = squaremesh([0,1,0,1],0.25); \n",
    "mesh = struct('node',node,'elem',elem);\n",
    "option.L0 = 1;\n",
    "option.maxIt = 4;\n",
    "option.printlevel = 1;\n",
    "option.plotflag = 1;\n",
    "option.elemType = 'P3';\n",
    "\n",
    "%% Non-empty Dirichlet boundary condition.\n",
    "pde = sincosdata;\n",
    "mesh.bdFlag = setboundary(node,elem,'Dirichlet','~(x==0)','Neumann','x==0');\n",
    "femPoisson(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pure Neumann boundary condition\n",
    "\n",
    "When pure Neumann boundary condition is posed, i.e., $-\\Delta u =f$ in $\\Omega$ and $\\nabla u\\cdot n=g_N$ on $\\partial \\Omega$, the data should be consisitent in the sense that $\\int_{\\Omega} f \\, dx + \\int_{\\partial \\Omega} g \\, ds = 0$. The solution is unique up to a constant. A post-process is applied such that the constraint $\\int_{\\Omega}u_h dx = 0$ is imposed. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     2401,  #nnz:    38084, smoothing: (1,1), iter: 20,   err = 3.41e-10,   time = 0.073 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     9409,  #nnz:   151460, smoothing: (1,1), iter: 20,   err = 7.14e-10,   time = 0.14 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    37249,  #nnz:   604004, smoothing: (1,1), iter: 21,   err = 3.97e-10,   time = 0.32 s\n",
      "\n",
      " #Dof       h       ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  625   1.25e-01   4.29608e-04   1.70743e-02   1.61466e-02   8.39893e-04\n",
      " 2401   6.25e-02   2.60671e-05   2.15721e-03   2.06194e-03   5.90094e-05\n",
      " 9409   3.12e-02   1.60744e-06   2.71037e-04   2.58554e-04   3.79705e-06\n",
      "37249   1.56e-02   9.99996e-08   3.39784e-05   3.22882e-05   2.39045e-07\n",
      "\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  625   7.00e-02   2.35e-03   3.00e-02   0.00e+00\n",
      " 2401   4.00e-02   7.27e-02   2.00e-02   0.00e+00\n",
      " 9409   9.00e-02   1.40e-01   3.00e-02   0.00e+00\n",
      "37249   4.10e-01   3.21e-01   1.20e-01   1.00e-02\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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lUkcNoALQAmRxGhmcJyE8gDMk12TixIkmj8VDx44dO3ToQI49PDxqa2vJsfgt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\n7xzNAeNJaPgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "option.plotflag = 0;\n",
    "pde = sincosNeumanndata;\n",
    "mesh.bdFlag = setboundary(node,elem,'Neumann');\n",
    "femPoisson(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Robin boundary condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     2401,  #nnz:    38113, smoothing: (1,1), iter: 17,   err = 7.78e-10,   time = 0.055 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:     9409,  #nnz:   151489, smoothing: (1,1), iter: 17,   err = 8.91e-10,   time = 0.08 s\n",
      "Multigrid V-cycle Preconditioner with Conjugate Gradient Method\n",
      "#dof:    37249,  #nnz:   604033, smoothing: (1,1), iter: 17,   err = 9.77e-10,   time = 0.28 s\n",
      "\n",
      " #Dof       h       ||u-u_h||    ||Du-Du_h||   ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      "  625   1.25e-01   4.29700e-04   1.70747e-02   1.61526e-02   8.33177e-04\n",
      " 2401   6.25e-02   2.60684e-05   2.15721e-03   2.06171e-03   5.87482e-05\n",
      " 9409   3.12e-02   1.60746e-06   2.71037e-04   2.58543e-04   3.79065e-06\n",
      "37249   1.56e-02   9.99999e-08   3.39784e-05   3.22878e-05   2.38940e-07\n",
      "\n",
      " #Dof   Assemble     Solve      Error      Mesh    \n",
      "\n",
      "  625   9.00e-02   1.39e-03   1.00e-02   0.00e+00\n",
      " 2401   4.00e-02   5.52e-02   1.00e-02   0.00e+00\n",
      " 9409   7.00e-02   8.03e-02   2.00e-02   1.00e-02\n",
      "37249   3.90e-01   2.79e-01   1.00e-01   1.00e-02\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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OEkABoGmUJQKF/SSEA7CH5J5MnDjR5LZw6NixY4cOHci2l5dXXV0d2Ra+5cij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\nbW2tySNbtWplWY0ENLwuYtjrnQskgwM2DKtQKECna8FLpTJ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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "option.plotflag = 0;\n",
    "pde = sincosRobindata;\n",
    "mesh.bdFlag = setboundary(node,elem,'Robin');\n",
    "femPoisson(mesh,pde,option);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "The optimal rate of convergence of the H1-norm (3rd order) and L2-norm (4th order) is observed. The order of $\\|\\nabla u_I - \\nabla u_h\\|$ is 3rd order and thus no superconvergence exists between nodal interpolate $u_I$ and $u_h$.\n",
    "\n",
    "MGCG converges uniformly in all cases."
   ]
  }
 ],
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     "text": "MetaKernel Magics",
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